#### MA.A: Number Sense, Concepts, and Operations

MA.A.1.4: The student understands the different ways numbers are represented and used in the real world.

MA.A.1.4.3: understands concrete and symbolic representations of real and complex numbers in real-world situations.

MA.A.2.4: The student understands number systems.

MA.A.2.4.3: understands the structure of the complex number system.

MA.A.3.4: The student understands the effects of operations on numbers and the relationships among these operations, selects appropriate operations, and computes for problem solving.

MA.A.3.4.1: understands and explains the effects of addition, subtraction, multiplication, and division on real numbers, including square roots, exponents, and appropriate inverse relationships.

MA.A.3.4.3: adds, subtracts, multiplies, and divides real numbers, including square roots and exponents, using appropriate methods of computing, such as mental mathematics, paper and pencil, and calculator.

#### MA.B: Measurement

MA.B.1.4: The student measures quantities in the real world and uses the measures to solve problems.

MA.B.1.4.1: uses concrete and graphic models to derive formulas for finding perimeter, area, surface area, circumference, and volume of two- and three-dimensional shapes, including rectangular solids, cylinders, cones, and pyramids.

MA.B.1.4.2: uses concrete and graphic models to derive formulas for finding rate, distance, time, angle measures, and arc lengths.

MA.B.1.4.3: relates the concepts of measurement to similarity and proportionality in real-world situations.

MA.B.2.4: The student compares, contrasts, and converts within systems of measurement (both standard/nonstandard and metric/customary).

MA.B.2.4.2: solves real-world problems involving rated measures (miles per hour, feet per second).

MA.B.3.4: The student estimates measurements in real-world problem situations.

MA.B.3.4.1: solves real-world and mathematical problems involving estimates of measurements, including length, time, weight/mass, temperature, money, perimeter, area, and volume, and estimates the effects of measurement errors on calculations.

MA.B.4.4: The student selects and uses appropriate units and instruments for measurement to achieve the degree of precision and accuracy required in real-world situations.

MA.B.4.4.1: determines the level of accuracy and precision, including absolute and relative errors or tolerance, required in real-world measurement situations.

#### MA.C: Geometry and Spatial Sense

MA.C.1.4: The student describes, draws, identifies, and analyzes two- and three-dimensional shapes.

MA.C.1.4.1: uses properties and relationships of geometric shapes to construct formal and informal proofs.

MA.C.2.4: The student visualizes and illustrates ways in which shapes can be combined, subdivided, and changed.

MA.C.2.4.1: understands geometric concepts such as perpendicularity, parallelism, tangency, congruency, similarity, reflections, symmetry, and transformations including flips, slides, turns, enlargements, rotations, and fractals.

MA.C.3.4: The student uses coordinate geometry to locate objects in both two and three dimensions and to describe objects algebraically.

MA.C.3.4.2: using a rectangular coordinate system (graph), applies and algebraically verifies properties of two and three-dimensional figures, including distance, midpoint, slope, parallelism, and perpendicularity.

#### MA.D: Algebraic Thinking

MA.D.1.4: The student describes, analyzes, and generalizes a wide variety of patterns, relations, and functions.

MA.D.1.4.1: describes, analyzes, and generalizes relationships, patterns, and functions using words, symbols, variables, tables, and graphs.

MA.D.1.4.2: determines the impact when changing parameters of given functions.

MA.D.2.4: The student uses expressions, equations, inequalities, graphs, and formulas to represent and interpret situations.

MA.D.2.4.1: represents real-world problem situations using finite graphs, matrices, sequences, series, and recursive relations.

MA.D.2.4.2: uses systems of equations and inequalities to solve real-world problems graphically, algebraically, and with matrices.

#### MA.E: Data Analysis and Probability

MA.E.1.4: The student understands and uses the tools of data analysis for managing information.

MA.E.1.4.2: calculates measures of central tendency (mean, median, and mode) and dispersion (range, standard deviation, and variance) for complex sets of data and determines the most meaningful measure to describe the data.

MA.E.1.4.3: analyzes real-world data and makes predictions of larger populations by applying formulas to calculate measures of central tendency and dispersion using the sample population data, and using appropriate technology, including calculators and computers.

MA.E.2.4: The student identifies patterns and makes predictions from an orderly display of data using concepts of probability and statistics.

MA.E.2.4.1: determines probabilities using counting procedures, tables, tree diagrams, and formulas for permutations and combinations.

MA.E.2.4.2: determines the probability for simple and compound events as well as independent and dependent events.

Correlation last revised: 6/20/2014

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.